3.00 Intro to Slope AG Strat

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line y = -2x + 5 is 5.

Front

What is the slope of the line represented by the equation y = -rac{2}{3}x + 4?

Back

The slope of the line y = -rac{2}{3}x + 4 is -rac{2}{3}.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal, indicating that there is no vertical change as you move along the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line, calculating the rise over run between those points.